What are the coordinates of the focus of the parabola? (y-2) = -20 (x +1) -20 (x + 1) %3D Enter your answer by filling in the boxes. focus:

Q: Find an equation of the parabola with vertex (-5, -5) and directrix y = -11. D=0 ?

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Q: Find the equation of the parabola with focus (5, 0) and directrixx = -5. а. b. x' = 20y c. y' = 20x…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: write the equation of a parabola whose directrix is x = 3.25 and has a focus at (10.75, -8).

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Q: What are the coordinates of the focus of the parabola (y + 5) = -8(x – 4) Enter your answer by…

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Q: Find an equation of the parabola whose graph is shown. y 7 Focus 2 X 7 2

A: if focus of the parabola (-a,0) then equation of the parabola y2 = - 4a x

Q: Write the equation for a parabola with axis of symmetry: x=3, focus: (3, -1) and directrix: y=-7.

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Q: Write the equation of a parabola whose directrix is y = 0.25 and has a focus at (-1, - 2.25).

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Q: Find the focus, directrix, vertex and axis of symmetry for the parabola - 12(y + 2) = (x – 2)?. -

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Q: Find the vertex, focus, and directrix of the parabola. x2 = 2y   vertex (x,y) = ? focus (x.y) = ?…

A: Find focus, vertex and directrix of the given parabola.

Q: What is the measure of the focal width of the parabola y+2y+4x-3=0 ?

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Q: Find focus of the parabola y=1/2-x-1/2x^2

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Q: A straight line touches the rectangular hyperbola 9x² -9y² = 8 and the parabola y =32x. the equation…

A: Introduction :

Q: find the equation of the parabola with the given properties. Focus (0, 4), directrix y = −4

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Q: What is the equation of the directrix of the parabola x2 + 2x+4y– 27=0? A y=8 B y=0 (© y= -2 D y=6

A: Solution ) x2 + 2x + 4y - 27 = 0 Add 1 and subtract 1 in equation  x2 + 2x +1  - 1  + 4y - 27 = 0…

Q: 3. Write an equation for the parabola with focus (1, 3) and vertex (0, 3). a. y = 4(x – 3)² b. y =…

A: Given:      focus =1,3      vertex =0,3  The focus and vertex are horizontally aligned, so the…

Q: y = 3x? + 6x – 5

A: The given parabola is: y=3x2+6x-5...(1)

Q: ises 17–30, find the equations of the parabola

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Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find.

Q: Explain how to use y2 = 8x to find the parabola’s focus and directrix.

A: Given: y2=8x   To find: The parabola’s focus and directrix

Q: What is the equation of the parabola given:  vertex at (-5, 1) and focus at (-5, 0.5) ? Write the…

A: Given, Vertex at (-5, 1) Focus at (-5,0.5) We know that the vertex form of the parabola is,…

Q: 12

A: In this question, concept of parabola is applied. Parabola A parabola is a curve equation in which a…

Q: What is the equation of a parabola with the vertex (3, 7) and the focus (5,7)? = (y – 7)² + 3 B (y-…

A: Vertex of the parabola is 3, 7 and the focus is 5, 7. Now vertex is, h, k=3, 7⇒h=3  &  k=7 Focus…

Q: Is it possible for two different parabolas to have the same focus and vertex? Explain with proof.

A: Actually, there cannot be two different parabolas with same focus and vertex..

Q: Find an equation of the parabola (in general form) given the following condition: opens upward,…

A: Formula for equation of parabola open upwards is: (x-h)2=4a(y-k) ......(1) Where (h,k) is vertex

Q: what is the opening of the parabola? x^2-y+4=0    a. right b. left c. upward d. downward

A: Given: y=x2+4 We know that equation of parabolay=ax2+bx+c, open upward if a>0 and open downward…

Q: Graph the parabola by finding the vertex, directrix, focus, and Latus Rectum. 4. y2-16y-12x +40 = 0…

A: we have to find the following

Q: find the equation of the parabola with the given properties. Focus (2, 0), directrix x = −2

A: The formula for a parabola in vertex form is:

Q: What is the axis of symmetry of the parabola with equation (y - 1) = 4 (x – 1) ?

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Q: What is the vertex of the parabola y = (x – 1)2 – 3? %3D

A: In this question to find the vertex of the parabola. So here we compare the given parabola with the…

Q: Find the equation for the parabola with vertex (-3,0) and focus (0,0).

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Q: Betty was asked to write the equation of the hyperbola with asymptotes y = +x and x-intercepts…

A: Definition used -               Equations of the asymptotes of the hyperbola are-…

Q: The hyperbolic representation of a 160-meter-tall tower can be modeled by (x^2)/25 - (y^2)/225 = 1…

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Q: The Focus and the Directrix of the parabola (x – 8)² = 8(y – 3) are -

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Q: Find an equation of the parabola with focus (-8,5) and directnx X = 4,

A: Parabola is the locus of a point, which moves so that its distance from a point called focus and a…

Q: Which equation represents a parabola with focus (2, 6) and directrix y = 2? A. y+4=(x-2)² 10 B.…

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Q: What is the equation of the parabola below? y (2.4) (3,1) -5

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Q: Which is the equation of the parabola with focus (0, 8) and directrix y = – 8?

A: We will use the fundamental property of parabola.

Q: Find an equation of the parabola with focus (-6, -3) and directrix x= 4. ロ=ロ

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Q: Determine the equation of the parabola opens upward with vertex (-12,-6) with directrix y=-17

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Q: Write an equation of the parabola in standard form when focus is (9,0) and directrix is x=-9

A: The equation of parabola having directrix x=aand focus (a,0) is given by=y2=4ax

Q: Write the equation of a parabola whose directrix is y=7.5 and has a focus at (−3,8.5)

A: Parabola is the locus of all those points which is equidistant from both Directrix and focus. let…

Q: The equation of the parabola r = 4(y– 2)² is opening

A: Note: Equation of parabola Direction where it opens y=ax-h2+k and a>0 Upward y=ax-h2+k and…

Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

Q: How is the axis of symmetry related to the vertex, focus, and directrix of a parabola?

A: See the attachment below

Q: Write the equation for a parabola with a Focus (4,1) and Directrix y=8 ?

A: we know that the distance between any point on parabola and the focus is same as the distance…

Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5, -)…

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Q: Write the equation of a parabola whose directrix is y = 10.75 and has a focus at (-3, 1.25).

A: Given :focus -3, 1.25

Q: y=(x-3)^2-1 how to find vertex and plot five point two on the left and two on the right for this…

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Q: Find an equation of the parabola that has focus F(-2,2) directrix  y= -2

A: If Given the focus (h,k) and the directrix y=mx+b, then  the equation for a  parabola   is (y - mx -…

Q: (x – 4) = –12 (y + 3) - Find the vertex, focus, and directrix of the parabola.

A: The given equation is: x-42=-12y+3                                     (1)